Oberwolfach Reports

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Volume 12, Issue 3, 2015, pp. 2189–2263
DOI: 10.4171/OWR/2015/38

Published online: 2016-04-29

Applied Harmonic Analysis and Sparse Approximation

Ingrid Daubechies[1], Gitta Kutyniok[2], Holger Rauhut[3] and Thomas Strohmer[4]

(1) Duke University, Durham, USA
(2) Technische Universit├Ąt Berlin, Germany
(3) RWTH Aachen, Germany
(4) University of California at Davis, USA

Efficiently analyzing functions, in particular multivariate functions, is a key problem in applied mathematics. The area of applied harmonic analysis has a significant impact on this problem by providing methodologies both for theoretical questions and for a wide range of applications in technology and science, such as image processing. Approximation theory, in particular the branch of the theory of sparse approximations, is closely intertwined with this area with a lot of recent exciting developments in the intersection of both. Research topics typically also involve related areas such as convex optimization, probability theory, and Banach space geometry. The workshop was the continuation of a first event in 2012 and intended to bring together world leading experts in these areas, to report on recent developments, and to foster new developments and collaborations.

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Daubechies Ingrid, Kutyniok Gitta, Rauhut Holger, Strohmer Thomas: Applied Harmonic Analysis and Sparse Approximation. Oberwolfach Rep. 12 (2015), 2189-2263. doi: 10.4171/OWR/2015/38